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Answers.everydaycalculation.com » Compare fractions

Compare 35/30 and 75/42

1st number: 1 5/30, 2nd number: 1 33/42

35/30 is smaller than 75/42

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    35/30 = 35 × 7/30 × 7 = 245/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    75/42 = 75 × 5/42 × 5 = 375/210
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 245/210 < 375/210 or 35/30 < 75/42

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